The number 60840

Q: Is 60840 a prime number?

No. 60840 = 2^3 × 3^2 × 5 × 13^2, so it is divisible by 2.

60840 is a composite number with 72 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × $13^{2}$ . Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26 … 60840.

Number

Pick any whole number from 1 to 100,000.

60840 = 2^{3} \times 3^{2} \times 5 \times 13^{2}

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How to work it out

1
What is special about 60840: a Harshad number: divisible by its digit sum 18.
2
60840 is composite. Its prime factorisation is
$60840 = 2^{3} \times 3^{2} \times 5 \times 13^{2}$
3
The divisors add up to 214110; without 60840 itself that is 153270, so 60840 is abundant (153270 is more than 60840). Euler's totient φ(60840) = 14976 numbers up to 60840 share no factor with it.
4
The digits of 60840 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page

\[ 60840 = 2^{3} \times 3^{2} \times 5 \times 13^{2} \]

60840 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	214110
Euler totient φ(n)	14976
Square	3701505600
Cube	225199600704000
Square root	246.657657 (= 78√10)
Digit sum / digital root	18 / 9
Collatz steps to 1	34
Scientific notation	6.084 × $10^{4}$

60840 in other forms

Form	Value
In words	sixty thousand eight hundred and forty
Binary (base 2)	1110110110101000
Octal (base 8)	166650
Hexadecimal (base 16)	EDA8
Base 3	10002110100
As time	60840 seconds = 16 h 54 min 0 s

Is 60840 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (60840 ÷ 2 = 30420)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (60840 ÷ 3 = 20280)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (60840 ÷ 4 = 15210)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (60840 ÷ 5 = 12168)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (60840 ÷ 6 = 10140)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (60840 ÷ 8 = 7605)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (60840 ÷ 9 = 6760)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (60840 ÷ 10 = 6084)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (60840 ÷ 12 = 5070)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60840 a prime number?

No. 60840 = $2^{3}$ × $3^{2}$ × 5 × $13^{2}$ , so it is divisible by 2.

What are the factors of 60840?

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420, 60840.

What is 60840 in binary?

1110110110101000 (hexadecimal EDA8, octal 166650).

What is the square root of 60840?

About 246.6577, exactly 78√10.

Is 60840 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 60840?

60840 is a Harshad number: divisible by its digit sum 18.